What is the Least Common Multiple of 79920 and 79940?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79920 and 79940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79920 and 79940, than apply into the LCM equation.

GCF(79920,79940) = 20
LCM(79920,79940) = ( 79920 × 79940) / 20
LCM(79920,79940) = 6388804800 / 20
LCM(79920,79940) = 319440240

Least Common Multiple (LCM) of 79920 and 79940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79920 and 79940. First we will calculate the prime factors of 79920 and 79940.

Prime Factorization of 79920

Prime Factorization of 79940

Now multiplying the highest exponent prime factors to calculate the LCM of 79920 and 79940.

LCM(79920,79940) = 2⁴ × 3³ × 5¹ × 37¹ × 7¹ × 571¹
LCM(79920,79940) = 319440240